Rules of Exponents - Review

Front

What is the product of powers rule in exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m ⋅ a^n = a^(m+n).

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n).

Front

Simplify: 4^3 ⋅ 4^5

Back

4^8.

Front

Simplify: (x^5)(x^5)

Back

x^10.

Front

What is the quotient of powers rule in exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: (c^5)(c^2)(c^2)

Back

c^9.

Front

What is the rule for raising a product to a power?

Back

(ab)^n = a^n * b^n.

Front

What is the rule for raising a quotient to a power?

Back

(a/b)^n = a^n / b^n.